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Finding the Fourth Proportional to 5,226.40, 7,886.16 and 5,023.88

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Solution

The fourth proportional to 5,226.40, 7,886.16 and 5,023.88 is: 7,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.40 : 7,886.16 = 5,023.88 : x
  2. Step 2: Convert to fraction form
    5,226.40/7,886.16 = 5,023.88/x
  3. Step 3: Cross multiply
    5,226.40x = 7,886.16 × 5,023.88
  4. Step 4: Simplify right side
    5,226.40x = 39,619,121.50
  5. Step 5: Solve for x
    x = 39,619,121.50/5,226.40
  6. Step 6: Final answer
    x = 7,580.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.